To solve this we are going to use the half life equation
Where:
is the initial sample
is the time in years
is the half life of the substance
is the remainder quantity after
years
From the problem we know that:
Lets replace those values in our equation to find
:
We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be
91.7 grams.
Answer:
Option D.
Step-by-step explanation:
It is given that a satellite is composed of 30 modular units. Each unit contains the same number of non-upgraded sensors.
Let x be the total number of upgraded sensors on the entire satellite.
The number of non-upgraded sensors on one unit is 1/5 the total number of upgraded sensors on the entire satellite.
Non-upgraded sensors on one unit =
Non-upgraded sensors on 30 unit =
Total number of sensors on the entire satellite is the sum of upgraded and non-upgraded sensors
We need to find the fraction of the sensors on the satellite have been upgraded.
Therefore, the correct option is D.
Answer:
Let the number of books she can purchase = b
The cost of each book is $5.5 with an extra shipping of $7.5
So, the total cost of the books she can purchase =
Since, she had $65 to spend on the books.
The required inequality is .
So, according to the inequality above, we get,
The correct options are,
B. The inequality symbol is incorrect because she can spend up to and including $65.
C. The expression is correct because $5.50 per book is and that is added to the shipping fee of $7.50 to determine the total purchase price.
Hey there! I'm happy to help!
Let's represent each ticket with the variable t. For each ticket sold, there will be 3 dollars added to the total. So, if you multiply the number of tickets by 3, you will have your total.
This gives us the following equation.
3t=504
We could use this equation to find the number of tickets sold by dividing both sides of it by 3, which isolates the t, showing us that t=168.
Have a wonderful day!